Novos testes de estabilidade para sistemas lineares

Abstract

This paper shows that several problems in linear systems theory can be solved by combining Lyapunov stability theory with Finsler's Lemma. Using these results, the differential equations that govern the behavior of the system can be seen as constraints. These dynamic constraints, which naturally involve the state derivative, are incorporated into the stability analysis conditions through the use of scalar or matrix Lagrange multipliers.

Stability; linear systems